The scatter plot shows the profit by the month for a new company during its first year of operation. Which equation most closely models the line of best fit for the scatter plot? A) y = 5x B) y = 2.5x C) y = 5x + 1000 D) y = 2.5x + 1000

[tex]x=10[/tex]

[tex]y=20[/tex]

Note:

(sin, cos, tan) Formulas:

[tex]sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

To find the value of [tex]x[/tex]

1) Using [tex]tan[/tex] formula

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

[tex]tan(60°)=\dfrac{10\sqrt{3}}{x}[/tex]

2) Multiply both sides by [tex]x[/tex]

[tex]xtan(60°)=\dfrac{10\sqrt{3}}{x}\times x[/tex]

[tex]xtan(60°)=10\sqrt{3}[/tex]

3) Divide both side by [tex]tan(60°)[/tex]

[tex]\dfrac{xtan(60°)}{tan(60°)}=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

4) Calculate

[tex]x=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

[tex]x=10[/tex]

To find the value of [tex]y[/tex]

1) Using [tex]cos[/tex] formula

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]cos(60°)=\dfrac{10}{y}[/tex]

2) Multiply both sides by [tex]y[/tex]

[tex]ycos(60°)=\dfrac{10}{y}\times y[/tex]

[tex]ycos(60°)=10[/tex]

3) Divide both side by [tex]cos(60°)[/tex]

[tex]\dfrac{ycos(60°)}{cos(60°)}=\dfrac{10}{cos(60°)}[/tex]

4) Calculate

[tex]y=\dfrac{10}{cos(60°)}[/tex]

[tex]y=20[/tex]

Answer: The answer you selected in the picture is correct.

Step-by-step explanation:

There will be no heat transfer from the nickel to the water in the glass since heat transfer is purely a function of temperature difference.

there will be no transfer of heat from the nickel to the water in the glass

Answer:

The sum of all the terms is -775.

Step-by-step explanation:

This appears to be an arithmetic sequence, with a common difference of 4.

The problem is, we don't know how many terms there are!

To find this, use the following formula:

last number = first number + (n - 1) * difference

In this case:

35 = -85 + (n - 1) * 4

35 = -85 + 4n - 4

4n = 124

n = 31

This means there are 31 terms in this sequence.

Now, for the sum. Use the following formula:

n(first number + last number), take this product and divide it by 2.

In this case:

31(-85 + 35) = -1550 / 2 = -775

Answer:

Dina swam for 37 minutes

Step-by-step explanation:

Dina started swimming at 3:38 p.m

There are 60 minutes in a hour so 60 - 38 = 22

22 is the remaining time in the hour she swam

She swam until 4:15 p.m.

She swam 15 minutes pass the hour

Total Time: 22 minutes + 15 minutes = 37 minutes

Answer:

B, C, E

Step-by-step explanation:

the dependent variable depends on the independent variable

thus, p is dependent on t, p is the dependent variable, and t is the independent variable (B)

every month, Gloria paints 2 pieces

each month, t is increased by 1, and p is increased by 2 (C)

every month, Gloria paints 2 pieces

2 pieces every month = (2*t) pieces  = total pieces = p (E)

Answer:

x=2

Step-by-step explanation:

5x-5 = x+3

4x=8

x=2

Answer:

g(1) = 0

=

lgn= ) +m

g(n) = g(n - 1) +n

=

-

n

g(2) =12

Step-by-step explanation:

12345678910

The surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

Box A:

Box B:

Volume : surface area

64 : 160 = 27 : x

64/160 = 27/x

64 × x = 160 × 27

64x = 4,320

x = 67.5 square inches

Therefore, the surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

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The figure is the combination of a square, a rectangle, and a triangle. Then the area of the figure will be 213 mm².

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of a square, a rectangle, and a triangle. Then the area of the figure will be

Area of square = 4 x 4

Area of square = 16 mm²

Area of rectangle = 7 x 9

Area of rectangle = 53 mm²

Area of triangle = 0.5 x 24 x 12

Area of triangle = 144 mm²

Then the area if the figure will be

Area of the figure = 16 + 53 + 144

Area of the figure = 213 mm²

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Answer:24

Step-by-step explanation:

Answer:

41 degrees

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so angle A is 180-108-31=41 degrees.

Answer:20 pints of blue paint and 8 pints of yellow paint

Step-by-step explanation:

5 pints of blue and 2 pints of yellow make 7 pints of green. (5 + 2 = 7)You must do this four times to get 28 pints of green. (4  · 7 = 28)So you need 20 (4 · 5) pints of blue and 8 (4 · 2) pints of yellow.

There are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.

Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it, to show that both sides of the shape are exactly the same.

The given figure will become symmetrical when 3 red Hexagones, 3 blue triangles and 5 orange rectangle added to the right portion.

Hence there are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.

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Answer:

21

Step-by-step explanation:

The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the spinner has 5 sections, each section is numbered between 1 to 5. Lakima also spins the spinner 6 times and records the results in this list. {2,4,1,5,3,4}. Therefore,

The theoretical probability of spinning an odd number is equal to 3/5.

The experimental probability of spinning an odd number is equal to 3/6=1/2.

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Answer: The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2. Therefore, the theoretical probability of spinning an odd number is GREATER THAN  the experimental probability of spinning an odd number.

Step-by-step explanation:

The area bounded by the line y=3x from limits x=0 to x=4 will be 24.

Integration is defined as the adding up all the small units to find the whole unit.

It is given in the question that the line y=3x is making a region in a plane from the limits x= to x=4.

So by integrating the function we will get the area.

[tex]\int\limits^4_0 y=\int\limits^4_0 {3x} \, dx[/tex]

[tex]\int\limits^4_0 y=3 \int\limits^4_0 {x} \, dx[/tex]

[tex]\int\limits^4_0 y=[\dfrac{3x^2}{2}]^4_0[/tex]

[tex]\int\limits^4_0 y= \dfrac{(3\times (4)^2)}{2}[/tex]

[tex]\int\limits^4_0 y= 24[/tex]

hence the region bounded by the line y=3x will have the area of 24 square units.

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Answer:

(-3.5, 2.3)

Step-by-step explanation:

Let the point P have coordinates : (x, y)

The line (from R to Q) is divided in the ratio :

Coordinates of :

Using section formula :

The coordinates of the point P are : (-3.5, 2.3)

Answer:

-3.5, 2.3

Step-by-step explanation:

63 cm2

hope it helps

you

63 CM answer

Step-by-step explanation:

Step 1:  Answer the first question

Area of a triangle → [tex]A = \frac{b*h}{2}[/tex]

[tex]\frac{4*6}{2}[/tex]

[tex]\frac{24}{2}[/tex]

[tex]12[/tex]

Total Area → [tex]12 * 2=24[/tex]

Answer:  Option D, [tex]24\ square\ units[/tex]

Step 2:  Answer the second question

We know that the total side length is 12 but we also know that the triangle base is 4 so we would subtract that from the total length and we get that the rectangle length is 8.  We also know that the width is 6 so we multiply 8 by 6 and we add 24.  This matches option B

Answer:  Option B, [tex](8 * 6 + 24)\ square\ units[/tex]

Answer:

Its 24 for both combined (A)

Step-by-step explanation:

i would say for part B it would be B

Step-by-step explanation:

the domain is the interval or set of all valid x-values for the function.

and the range is the interval or set of all valid y-values (functional result values) for the function.

so, we can see here that the function would create results for all x in (- infinity, + infinity). that is the domain.

now, what result values (y-values) are possible ?

we see, that the smallest functional value is y = -2.

and from there all y-values up to +infinity are possible.

so, the range is [-2, +infinity).

please consider the chosen brackets. the "[" means the value is included in the function, a "(" means that that particular interval end value is excluded. anything bigger or smaller might be valid but not this one value.

and infinity is not a value. hence they are not included in such intervals.

Answer:

y = 4"x +2

Step-by-step explanation:

We choose negative 4 because the graph lies below the asymptote and we chose positive 2 because the horizontal asymptote is on the positive section of the y axis

Answer:

50% of a number means that we are taking half of a number.  Since 11 is 50% of a number that means that we need to multiply 11 by 2 to get the original number.  When we multiply 11 by 2 we get 22 and that is closest to option A which is 20.

Answer:  Option A, [tex]20[/tex]

Answer:

$37046.05

Step-by-step explanation:

new mean wage = beginning mean wage x (105.125%)

                            = 35240 x 105.125%

                            = 37046.05

Answer:

$37,046.05

Step-by-step explanation:

New mean wage :

Answer:

18x3=54

Mia gave Jon 54 apples

54+18=72

Now Jon has 72 apples

Answer:

363

Step-by-step explanation:

11x11=121

((11x11)÷2)x4=11x11x2=121x2=242

121+242=363

The missing values in the diagram given that figure ABCD is a dilation of figure KLMN, are:

AB = 4

LM = 20

∠B = 98.87°

∠N = 141.87°

Dilation is a form of transformation whereby a new figure is formed by enlarging or reducing an original figure by a scale factor. After dilation, the corresponding sides of both figures are proportional, while the corresponding angles of both figures are congruent to each other.

Find AB:

AB/KL = DC/NM

Plug in the values

AB/10 = 4/10

AB(10) = 4(10)

AB = 40/10

AB = 4

Find LM:

BC/LM = DC/NM

Plug in the values

8/LM = 4/10

8(10) = 4(LM)

LM = 80/4

LM = 20

∠B = ∠L = 98.87°

∠N = ∠D = 141.87°

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Answer:

The Answer is: -3.

Step-by-step explanation:

I just took the quiz and I got it right!!

Given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area and circumference  of a circle is expressed mathematically as;

Where A is area, C is circumference, r is radius and π is constant pi.

Given the data in the question;

First, we determine the radius of the circle.

24π cm = 2πr

r = 24π cm / 2π

r = 12cm

Now, we find the area.

A = πr²

A = π × (12cm)²

A = π × 144cm²

A = 144πcm²

Therefore, given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

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